Random Sequential Packing Of Cubes
Itoh Yoshiaki,Dutour Sikiric Mathieu
ISBN: 9789814307833
Vydavatelství: World Scientific
Rok vydání: 2011
Vazba: Hardback
Počet stran: 256
Dostupnost: Skladem
Původní cena: 3 065 Kč
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In this volume very simplified models are introduced to understand the random sequential packing models mathematically. The 1-dimensional model is sometimes called the Parking Problem, which is known by the pioneering works by Flory (1939), Renyi (1958), Dvoretzky and Robbins (1962). To obtain a 1-dimensional packing density, distribution of the minimum of gaps, etc., the classical analysis has to be studied. The packing density of the general multi-dimensional random sequential packing of cubes (hypercubes) makes a well-known unsolved problem. The experimental analysis is usually applied to the problem. This book introduces simplified multi-dimensional models of cubes and torus, which keep the character of the original general model, and introduces a combinatorial analysis for combinatorial modelings.